Comment on ``New types of exact solutions for nonlinear Schrödinger equation with cubic nonlinearity

DOI10.1016/j.cam.2011.02.028zbMath1220.35160OpenAlexW2070085215MaRDI QIDQ550114

Dmitry I. Sinelshchikov, Nikolay A. Kudryashov, Pavel N. Ryabov

Publication date: 8 July 2011

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2011.02.028

zbMATH Keywords

exact solutionordinary differential equationnonlinear evolution equationnonlinear differential equationcommon error

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Solutions to PDEs in closed form (35C05) Trigonometric solutions to PDEs (35C09)

Cites Work

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• New types of exact solutions for nonlinear Schrödinger equation with cubic nonlinearity
• Popular ansatz methods and solitary wave solutions of the Kuramoto-Sivashinsky equation
• Comment on: New exact traveling wave solutions of the \((3 + 1)\)-dimensional Kadomtsev-Petviashvili (KP) equation
• Seven common errors in finding exact solutions of nonlinear differential equations
• Comment on: ``Application of the \((\frac{G'}{G})\)-expansion method for the complex KdV equation [Huiqun Zhang, Commun. Nonlinear Sci. Numer. Simul. 15; 2010:1700-1704]
• More common errors in finding exact solutions of nonlinear differential equations. I
• A note on ``New kink-shaped solutions and periodic wave solutions for the \((2 + 1)\)-dimensional sine-Gordon equation
• A note on solitary-wave solutions to compound KdV-Burgers equations
• The inverse scattering transform: Semi-infinite interval